What is the Greatest Common Factor of 87072 and 87080?

Greatest common factor (GCF) of 87072 and 87080 is 8.

GCF(87072,87080) = 8

We will now calculate the prime factors of 87072 and 87080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87072 and 87080.

How to find the GCF of 87072 and 87080?

We will first find the prime factorization of 87072 and 87080. After we will calculate the factors of 87072 and 87080 and find the biggest common factor number .

Step-1: Prime Factorization of 87072

Prime factors of 87072 are 2, 3, 907. Prime factorization of 87072 in exponential form is:

87072 = 2⁵ × 3¹ × 907¹

Step-2: Prime Factorization of 87080

Prime factors of 87080 are 2, 5, 7, 311. Prime factorization of 87080 in exponential form is:

87080 = 2³ × 5¹ × 7¹ × 311¹

Step-3: Factors of 87072

List of positive integer factors of 87072 that divides 87072 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 907, 1814, 2721, 3628, 5442, 7256, 10884, 14512, 21768, 29024, 43536

Step-4: Factors of 87080

List of positive integer factors of 87080 that divides 87072 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280, 311, 622, 1244, 1555, 2177, 2488, 3110, 4354, 6220, 8708, 10885, 12440, 17416, 21770, 43540

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87072 and 87080. The biggest common factor number is the GCF number.
So the greatest common factor 87072 and 87080 is 8.

Also check out the Least Common Multiple of 87072 and 87080